Geodesic
Modelling of a sandwich plate cross-section with different moduli of the material under cylindrical loads
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 3, pp. 320-330

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A model of three-layer sandwich plate consisting of two layers of composite material connected by an elastic isotropic layer is considered in the paper. Composite layers with different tensile and compression moduli of elasticity are described as an orthotropic material reinforced with parallel carbon fibres. Constitutive equations of the model are based on the generalized rheological method. The energy functional is constructed with the use of the Lagrange variational method which is minimized using the initial stress method and the finite element method. The results of a series of computational experiments are presented wherein the stress-strain state of a vertical section of a plate under the action of cylindrical load is calculated.
Keywords: composite material, multi-modular theory of elasticity, generalized rheological method, finite element method.
Mots-clés : composite plate 
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     author = {Igor E. Petrakov},
     title = {Modelling of a sandwich plate cross-section with different moduli of the material under cylindrical loads},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {320--330},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2025_18_3_a3/}
}
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Igor E. Petrakov. Modelling of a sandwich plate cross-section with different moduli of the material under cylindrical loads. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 3, pp. 320-330. http://geodesic.mathdoc.fr/item/JSFU_2025_18_3_a3/